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Finding the Fourth Proportional to 8,588.80, 11,860.44 and 5,446

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Solution

The fourth proportional to 8,588.80, 11,860.44 and 5,446 is: 7,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.80 : 11,860.44 = 5,446 : x
  2. Step 2: Convert to fraction form
    8,588.80/11,860.44 = 5,446/x
  3. Step 3: Cross multiply
    8,588.80x = 11,860.44 × 5,446
  4. Step 4: Simplify right side
    8,588.80x = 64,591,956.24
  5. Step 5: Solve for x
    x = 64,591,956.24/8,588.80
  6. Step 6: Final answer
    x = 7,520.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.